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Finding the Fourth Proportional to 192,378.32, 288,175.48 and 92,233.20

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Solution

The fourth proportional to 192,378.32, 288,175.48 and 92,233.20 is: 138,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,378.32 : 288,175.48 = 92,233.20 : x
  2. Step 2: Convert to fraction form
    192,378.32/288,175.48 = 92,233.20/x
  3. Step 3: Cross multiply
    192,378.32x = 288,175.48 × 92,233.20
  4. Step 4: Simplify right side
    192,378.32x = 26,579,346,681.94
  5. Step 5: Solve for x
    x = 26,579,346,681.94/192,378.32
  6. Step 6: Final answer
    x = 138,161.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.